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 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Understanding Recency Spaces\n",
    "Use `RecencySpace` to embed datetime signals and configure your embeddings to favor a specific recency profile."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "%pip install superlinked==3.38.0"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Recency Space"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "import altair as alt\n",
    "from datetime import timedelta\n",
    "from superlinked.evaluation.charts.recency_plotter import RecencyPlotter\n",
    "from superlinked.framework.common.schema.schema import schema\n",
    "from superlinked.framework.common.schema.schema_object import Timestamp\n",
    "from superlinked.framework.common.schema.id_schema_object import IdField\n",
    "from superlinked.framework.dsl.space.recency_space import RecencySpace\n",
    "from superlinked.framework.common.dag.period_time import PeriodTime\n",
    "\n",
    "# Enable visualization on Github.\n",
    "# Ref: https://altair-viz.github.io/user_guide/display_frontends.html\n",
    "alt.renderers.enable(\"mimetype\")\n",
    "\n",
    "\n",
    "@schema\n",
    "class Post:\n",
    "    id: IdField\n",
    "    created_at: Timestamp  # Capture date and time as a unix timestamp in seconds.\n",
    "\n",
    "\n",
    "post = Post()\n",
    "\n",
    "recency_space = RecencySpace(\n",
    "    timestamp=post.created_at\n",
    ")  # Create a recency space to embed datetime information."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Use the `RecencyPlotter` to visualize the value set of the `RecencySpace`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
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",
      "text/plain": [
       "<VegaLite 5 object>\n",
       "\n",
       "If you see this message, it means the renderer has not been properly enabled\n",
       "for the frontend that you are using. For more information, see\n",
       "https://altair-viz.github.io/user_guide/display_frontends.html#troubleshooting\n"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "RecencyPlotter(recency_space).plot_recency_curve()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Periods\n",
    "You can provide the recency space key dates of interest (periods) to customize the recency space to your requirements."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.vegalite.v5+json": {
       "$schema": "https://vega.github.io/schema/vega-lite/v5.16.3.json",
       "config": {
        "view": {
         "continuousHeight": 300,
         "continuousWidth": 300
        }
       },
       "data": {
        "name": "data-2c8f2381b55345382745d8878121a992"
       },
       "datasets": {
        "data-2c8f2381b55345382745d8878121a992": [
         {
          "date": "2024-03-06T23:48:56",
          "score": 0
         },
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          "date": "2024-03-07T00:00:01.945946",
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         {
          "date": "2024-03-07T00:11:07.891892",
          "score": 0
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         {
          "date": "2024-03-07T00:22:13.837838",
          "score": 0
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          "date": "2024-03-07T00:33:19.783784",
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          "date": "2024-03-07T00:44:25.729730",
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          "date": "2024-03-07T00:55:31.675676",
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          "date": "2024-03-07T01:06:37.621622",
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          "date": "2024-03-07T01:17:43.567568",
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          "date": "2024-03-07T01:28:49.513514",
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          "date": "2024-03-07T01:39:55.459460",
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          "date": "2024-03-07T01:51:01.405406",
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          "date": "2024-03-07T02:02:07.351351",
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          "date": "2024-03-07T03:08:43.027027",
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          "date": "2024-03-07T04:59:42.486486",
          "score": 0
         },
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          "date": "2024-03-07T05:10:48.432432",
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          "date": "2024-03-07T08:30:35.459460",
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          "date": "2024-03-07T09:03:53.297297",
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          "date": "2024-03-07T09:26:05.189189",
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          "date": "2024-03-07T09:37:11.135135",
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          "date": "2024-03-07T09:48:17.081081",
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          "date": "2024-03-07T09:59:23.027027",
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",
      "text/plain": [
       "<VegaLite 5 object>\n",
       "\n",
       "If you see this message, it means the renderer has not been properly enabled\n",
       "for the frontend that you are using. For more information, see\n",
       "https://altair-viz.github.io/user_guide/display_frontends.html#troubleshooting\n"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "custom_recency_space = RecencySpace(\n",
    "    timestamp=post.created_at,\n",
    "    period_time_list=[\n",
    "        PeriodTime(\n",
    "            timedelta(days=1)\n",
    "        ),  # One unit of the signal should be the previous day.\n",
    "        PeriodTime(timedelta(days=7)),  # Another unit should be the previous week.\n",
    "        # Anything else should get a zero score.\n",
    "    ],\n",
    ")\n",
    "\n",
    "RecencyPlotter(custom_recency_space).plot_recency_curve()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Weighted periods\n",
    "Use weights to give more importance to some periods."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.vegalite.v5+json": {
       "$schema": "https://vega.github.io/schema/vega-lite/v5.16.3.json",
       "config": {
        "view": {
         "continuousHeight": 300,
         "continuousWidth": 300
        }
       },
       "data": {
        "name": "data-145286ebc0271bf1ef90dfe393450fc1"
       },
       "datasets": {
        "data-145286ebc0271bf1ef90dfe393450fc1": [
         {
          "date": "2024-03-06T23:48:57",
          "score": 0
         },
         {
          "date": "2024-03-07T00:00:02.945946",
          "score": 0
         },
         {
          "date": "2024-03-07T00:11:08.891892",
          "score": 0
         },
         {
          "date": "2024-03-07T00:22:14.837838",
          "score": 0
         },
         {
          "date": "2024-03-07T00:33:20.783784",
          "score": 0
         },
         {
          "date": "2024-03-07T00:44:26.729730",
          "score": 0
         },
         {
          "date": "2024-03-07T00:55:32.675676",
          "score": 0
         },
         {
          "date": "2024-03-07T01:06:38.621622",
          "score": 0
         },
         {
          "date": "2024-03-07T01:17:44.567568",
          "score": 0
         },
         {
          "date": "2024-03-07T01:28:50.513514",
          "score": 0
         },
         {
          "date": "2024-03-07T01:39:56.459460",
          "score": 0
         },
         {
          "date": "2024-03-07T01:51:02.405406",
          "score": 0
         },
         {
          "date": "2024-03-07T02:02:08.351351",
          "score": 0
         },
         {
          "date": "2024-03-07T02:13:14.297297",
          "score": 0
         },
         {
          "date": "2024-03-07T02:24:20.243243",
          "score": 0
         },
         {
          "date": "2024-03-07T02:35:26.189189",
          "score": 0
         },
         {
          "date": "2024-03-07T02:46:32.135135",
          "score": 0
         },
         {
          "date": "2024-03-07T02:57:38.081081",
          "score": 0
         },
         {
          "date": "2024-03-07T03:08:44.027027",
          "score": 0
         },
         {
          "date": "2024-03-07T03:19:49.972973",
          "score": 0
         },
         {
          "date": "2024-03-07T03:30:55.918919",
          "score": 0
         },
         {
          "date": "2024-03-07T03:42:01.864865",
          "score": 0
         },
         {
          "date": "2024-03-07T03:53:07.810811",
          "score": 0
         },
         {
          "date": "2024-03-07T04:04:13.756757",
          "score": 0
         },
         {
          "date": "2024-03-07T04:15:19.702703",
          "score": 0
         },
         {
          "date": "2024-03-07T04:26:25.648649",
          "score": 0
         },
         {
          "date": "2024-03-07T04:37:31.594594",
          "score": 0
         },
         {
          "date": "2024-03-07T04:48:37.540540",
          "score": 0
         },
         {
          "date": "2024-03-07T04:59:43.486486",
          "score": 0
         },
         {
          "date": "2024-03-07T05:10:49.432432",
          "score": 0
         },
         {
          "date": "2024-03-07T05:21:55.378378",
          "score": 0
         },
         {
          "date": "2024-03-07T05:33:01.324324",
          "score": 0
         },
         {
          "date": "2024-03-07T05:44:07.270270",
          "score": 0
         },
         {
          "date": "2024-03-07T05:55:13.216216",
          "score": 0
         },
         {
          "date": "2024-03-07T06:06:19.162162",
          "score": 0
         },
         {
          "date": "2024-03-07T06:17:25.108108",
          "score": 0
         },
         {
          "date": "2024-03-07T06:28:31.054054",
          "score": 0
         },
         {
          "date": "2024-03-07T06:39:37",
          "score": 0
         },
         {
          "date": "2024-03-07T06:50:42.945946",
          "score": 0
         },
         {
          "date": "2024-03-07T07:01:48.891892",
          "score": 0
         },
         {
          "date": "2024-03-07T07:12:54.837838",
          "score": 0
         },
         {
          "date": "2024-03-07T07:24:00.783784",
          "score": 0
         },
         {
          "date": "2024-03-07T07:35:06.729730",
          "score": 0
         },
         {
          "date": "2024-03-07T07:46:12.675676",
          "score": 0
         },
         {
          "date": "2024-03-07T07:57:18.621622",
          "score": 0
         },
         {
          "date": "2024-03-07T08:08:24.567568",
          "score": 0
         },
         {
          "date": "2024-03-07T08:19:30.513514",
          "score": 0
         },
         {
          "date": "2024-03-07T08:30:36.459460",
          "score": 0
         },
         {
          "date": "2024-03-07T08:41:42.405406",
          "score": 0
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",
      "text/plain": [
       "<VegaLite 5 object>\n",
       "\n",
       "If you see this message, it means the renderer has not been properly enabled\n",
       "for the frontend that you are using. For more information, see\n",
       "https://altair-viz.github.io/user_guide/display_frontends.html#troubleshooting\n"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "weighted_recency_space = RecencySpace(\n",
    "    timestamp=post.created_at,\n",
    "    period_time_list=[\n",
    "        PeriodTime(timedelta(days=1), weight=2),  # You can tune the ratio with weights.\n",
    "        PeriodTime(timedelta(days=7)),\n",
    "    ],\n",
    ")\n",
    "\n",
    "RecencyPlotter(weighted_recency_space).plot_recency_curve()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Setting NOW to a specific date\n",
    "During execution the RecencySpace will pick up on the NOW timestamp of the system, to allow you to experiment with historical data you can set the time to a specific date with:\n",
    "```python\n",
    "from superlinked.framework.common.dag.context import CONTEXT_COMMON, CONTEXT_COMMON_NOW\n",
    "\n",
    "...\n",
    "\n",
    "CONTEXT_DATA = {CONTEXT_COMMON: {CONTEXT_COMMON_NOW: NOW_TS}}\n",
    "executor: InMemoryExecutor = InMemoryExecutor(sources=[...], indices=[...], context_data=CONTEXT_DATA)\n",
    "```\n",
    "\n"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.9"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
